Search a number
-
+
40405554 = 236737107
BaseRepresentation
bin1001101000100…
…0101000110010
32211000211000000
42122020220302
540320434204
64002010430
71000304310
oct232105062
984024000
1040405554
1120898322
1211646a16
1384a9317
14551b0b0
153832039
hex2688a32

40405554 has 112 divisors (see below), whose sum is σ = 107656128. Its totient is φ = 11127456.

The previous prime is 40405543. The next prime is 40405559. The reversal of 40405554 is 45550404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40405559) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 377569 + ... + 377675.

Almost surely, 240405554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40405554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53828064).

40405554 is an abundant number, since it is smaller than the sum of its proper divisors (67250574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40405554 is a wasteful number, since it uses less digits than its factorization.

40405554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 40405554 is about 6356.5363209849. The cubic root of 40405554 is about 343.1471176283.

Adding to 40405554 its reverse (45550404), we get a palindrome (85955958).

The spelling of 40405554 in words is "forty million, four hundred five thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 107 111 126 162 189 214 222 243 259 321 333 378 486 518 567 642 666 729 749 777 963 999 1134 1458 1498 1554 1701 1926 1998 2247 2331 2889 2997 3402 3959 4494 4662 5103 5778 5994 6741 6993 7918 8667 8991 10206 11877 13482 13986 17334 17982 20223 20979 23754 26001 26973 27713 35631 40446 41958 52002 53946 55426 60669 62937 71262 78003 83139 106893 121338 125874 156006 166278 182007 188811 213786 249417 320679 364014 377622 498834 546021 641358 748251 962037 1092042 1496502 1924074 2244753 2886111 4489506 5772222 6734259 13468518 20202777 40405554